A method for communicating through a multiple access communication interface includes receiving a first signal from a first tag, where the first signal is spread using a predetermined pseudo-noise (pn) code, and further where the first signal includes first payload data. A second signal is received from a second tag. The second signal is spread using the predetermined pn code, and the second signal includes second payload data. The first payload data from the first signal is identified at least in part with a pn array despreader. The second payload data from the second signal is also identified at least in part with the pn array despreader.
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1. A method for communicating information to an access point, the method comprising:
generating a data stream at a processor;
spreading the data stream with a common pseudo-noise (pn) code, wherein the common pn code is used by a plurality of tags in communication with the access point;
applying a frequency offset to the spread data stream based at least in part on a timing of the access point; and
transmitting the spread data stream with a randomly selected timing offset.
8. A transmit apparatus for communicating information to an access point, the transmit apparatus comprising:
a pseudo-noise (pn) spreader configured to receive a data stream and spread the data stream with a common pn code, wherein the common pn code is used by a plurality of tags in communication with the access point;
a frequency control rotator in communication with the pn spreader and configured to apply a frequency offset to the spread data stream based at least in part on a timing of the access point;
a delay module in communication with the frequency control rotator and configured to generate a randomly selected timing offset for the spread data stream; and
a transmitter configured to transmit the spread data stream with the randomly selected timing offset.
15. A tag for communicating information to an access point, wherein the tag comprises:
a transmit apparatus comprising
a pseudo-noise (pn) spreader configured to receive a data stream and spread the data stream with a common pn code, wherein the common pn code is used by a plurality of tags in communication with the access point;
a frequency control rotator in communication with the pn spreader and configured to apply a frequency offset to the spread data stream based at least in part on a timing of the access point;
a delay module in communication with the frequency control rotator and configured to generate a randomly selected timing offset for the spread data stream; and
a transmitter configured to transmit the spread data stream with the randomly selected timing offset;
a processor in communication with the transmit apparatus, wherein the processor is configured to execute operations performed by the transmit apparatus; and
a receiver in communication with the processor.
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The present application claims priority to U.S. Provisional Application No. 61/037,522, the entire disclosure of which is incorporated herein by reference.
The present application is related to U.S. patent application Ser. No. 12/189,609 entitled “Random Phase Multiple Access Communication Interface System and Method,” U.S. patent application Ser. No. 12/189,533 entitled “Despreading Spread Spectrum Data,” and U.S. patent application Ser. No. 12/189,505 entitled “Tag Communications with Access Point.”
Embodiments of the present application relate to the field of communications. More specifically, exemplary embodiments relate to random phase multiple access communication interface systems and methods.
A number of modulation techniques have been developed for facilitating communications in a network where multiple users are present. Such techniques include code division multiple access (CDMA), time division multiple access (TDMA), and frequency division multiple access (FDMA). CDMA is a spread-spectrum technology that uses pseudo-random number sequences to modulate incoming data, multiple transmitters transmitting on the same signal, and orthogonal codes (Walsh codes) to correlate different communication channels. TDMA uses time slots to coordinate multiple uplink transmitters that are transmitting in the same sub-slots. Users transmit in rapid succession, one after the other, each using his/her own time slot, allowing multiple stations to share the same transmission medium (e.g., radio frequency channel) while using only a portion of the total available bandwidth. FDMA allocates different users with different carrier frequencies of the radio spectrum.
In addition to modulation techniques, protocols exist for determining how network devices respond when two devices attempt to use a data channel simultaneously (called a collision). CSMA/CD (Carrier Sense Multiple Access/Collision Detection) is used by Ethernet networks to physically monitor the traffic on the line at participating stations. If no transmission is taking place at the time, the particular station can transmit. If two stations attempt to transmit simultaneously, this causes a collision, which is detected by all participating stations. After a random time interval, the stations that collided attempt to transmit again. If another collision occurs, the time intervals from which the random waiting time is selected are increased step by step. This is known as exponential back off.
Existing modulation and collision preventing techniques (including those described above and other known techniques) have a number of inherent disadvantages that limit the capabilities and functionalities of communication systems using them.
An exemplary embodiment uses a random phase multiple access communication interface. The interface can communicatively connect to systems and devices using spread spectrum modulation methods without the use of orthogonal codes.
An exemplary random phase multiple access communication interface communicatively connects systems and devices using spread spectrum modulation methods. The random selection of chip (or timing) offsets as a multiple access scheme allows for non-coordinated data transmission without needing to be assigned a unique “code.” All users transmit using the same PN (pseudo noise) code such that a PN array despreader at the access point can be used. If two signals are received at the access point at the same PN offset (or the sum of the PN offset with the transmission delay in number of chips yields the same value for 2 or more transmissions), then a “collision” has occurred and it may not be possible to demodulate these 2 or more signals. The randomization of timing offsets each time means that any “collisions” that occur only occur during that frame. A retransmission scheme and a new randomized offset is used to get through in the next attempt.
An exemplary embodiment includes a transmitter at the tag (uplink) and a method of transmitting signals from the tag to an access point. Each tag includes its own transmitter which transmits information in the form of frames. A frame can be formed from information provided on a channel having a fixed data rate. The data can be spread using the same pseudo-noise (PN) code, and can have a randomly selected chip offset. The transmitter also applies frequency rotation and sample clock correction to match the reference oscillator of the access point. A plurality of tags is associated with a single access point to form the network. Each of the plurality of tags transmits information using the same PN code along with a randomly selected chip offset. The phase is randomly selected each frame over a large number of chips (i.e., 8192).
Another exemplary embodiment includes a transmitter at an access point (downlink) and a method for transmitting signals from the access point to the tags. The access point transmitter can be similar to that of the tags. However, the access point transmitter uses a unique PN code for each of the tags with which it communicates. The use of distinct PN codes for each tag provides security and allows each tag to ignore signals which are directed toward other tags. The frames transmitted by the access point also include a preamble of approximately 9 symbols to allow for rapid acquisition at the tags.
Another exemplary embodiment includes a demodulator at the tag and a method for demodulating signals received by the tag. An automatic frequency control (AFC) derotator multiplication is applied to signals received at the tag. The AFC derotator multiplication is a 1 bit complex operation with a 1 bit complex output such that gate count is improved. The tag uses a PN array despreader that takes advantage of the huge computational savings in the 1 bit data path.
Another exemplary embodiment includes a demodulator at the access point and a method for demodulating signals received at the access point. The access point demodulator has capacity to simultaneously demodulate several thousand or more links received from tags. To demodulate such a large number of links, the access point demodulator includes a PN array despreader.
Another exemplary embodiment includes synchronization of the tag with a master timing of the access point. The access point can periodically transmit a broadcast frame. During a ‘cold’ timing acquisition, the tag uses its PN despreader to analyze the broadcast frames and identify the master timing of the access point. Cold timing acquisition is expected to occur one time when the tag is first introduced into the system. After the initial cold acquisition, the tag can perform a ‘warm’ timing acquisition each time the tag wakes up to transmit or receive a signal. The warm timing acquisition utilizes less power than the cold timing acquisition.
In at least one exemplary embodiment, each tag separately generates a PN code. A gold code is an example of a PN code that is parameterizable such that each user has its own. As such, only data destined for a particular user is visible to it. Using unique PN codes, a tag does not process data that is not its own.
An exemplary method for communicating through a multiple access communication interface includes receiving a first signal from a first tag, where the first signal is spread using a predetermined pseudo-noise (PN) code, and further where the first signal includes first payload data. A second signal is received from a second tag. The second signal is spread using the predetermined PN code, and the second signal includes second payload data. The first payload data from the first signal is identified at least in part with a PN array despreader. The second payload data from the second signal is also identified at least in part with the PN array despreader.
An exemplary system for communicating through a multiple access communication interface includes a first tag, a second tag, and an access point. The first tag has a first transmitter configured to transmit first payload data in a first signal, wherein the first signal is spread using a predetermined pseudo-noise (PN) code. The second tag has a second transmitter configured to transmit second payload data in a second signal, wherein the second signal is spread using the predetermined PN code. The access point is in communication with the first tag and the second tag and includes a receiver and a despread array. The receiver is configured to receive the first signal and the second signal. The despread array is configured to despread the first signal and the second signal.
An exemplary access point for use in a multiple access communication system includes a processor, a receiver in communication with the processor, and a transmitter in communication with the processor. The receiver is configured to receive a first signal from a first tag, wherein the first signal includes first payload data, and further wherein the first signal is spread using a predetermined pseudo-noise (PN) code. The receiver is also configured to receive a second signal from a second tag, wherein the second signal includes second payload data, and further wherein the second signal is spread using the predetermined PN code. The transmitter is configured to transmit a third signal to the first tag, wherein the third signal is spread with a second PN code, and further wherein the second PN code is specific to the first tag.
These and other features, aspects and advantages will become apparent from the following description, appended claims, and the accompanying exemplary embodiments shown in the drawings, which are briefly described below.
Exemplary embodiments are described below with reference to the accompanying drawings. It should be understood that the following description is intended to describe exemplary embodiments, and not to limit the invention defined in the appended claims.
In block 12, a data stream is received by a convolution encoder and interleave module. In one embodiment, the data stream is 128 Bits including the preamble. Alternatively, data streams of other sizes may be used. Once received, the data stream is encoded using the convolution encoder. In an exemplary embodiment, the data stream may be encoded at a rate of %. Alternatively, other rates may be used. The data stream can also be interleaved using the interleave module. An encoded symbols stream is output to a block 14 in which a differential binary phase shift keying (D-BPSK) modulator is used to modulate the encoded symbols stream. In alternative embodiments, other modulation schemes may be used. At block 16, the modulated stream is applied to a PN spreader. In an exemplary embodiment, the PN spreader can use a common network gold code channel using a selected spreading factor. The spreading factor can be a member of the set {64, 128, 256, . . . , 8192}. Alternatively, any other code and/or spreading factor may be used. Each of the tags at a given spreading factor is spread by the same PN code with a randomly selected chip offset. The large range of possible randomly selected chip offsets increases the probability that a particular frame will not collide (or, in other words, have the same chip timing at the access point) with another frame from another transmitter. The probability of collision in the limit of approaching capacity may become non-negligible (˜10% or less) and can be solved via retransmission of the same frame at a differently drawn random offset. The PN spreader is described in more detail below with reference to
At block 18, the data stream is upsampled by a 4×oversample filter and time tracking logic is used to ensure that all of the frames land at the same sample rate consistent with the frequency reference of the AP. Block 18 receives a sample slip/repeat indicator as an input. In one embodiment, an output of block 18 may have a real frequency of approximately 4 megahertz (MHz). At block 20, an automatic frequency control (AFC) rotation is done including a frequency offset to match the access point's timing offset, ensuring that all of the frames from all of the users lands near the same frequency hypothesis. In one embodiment, an output of block 20 may have a complex frequency of approximately 4 MHz. At block 22, a delay is imposed from the start slot until the correct access slot occurs. In addition, a random chip delay is imposed on the signal. In an exemplary embodiment, the random chip delay can be from 0 to the spreading factor minus 1. Alternatively, a different random chip delay may be used. The slot access can be described by A(i,j) where i is related to the spreading factor as 2^(13-i) and j is the sub-slot number corresponding to non-overlapping slots. Depending upon the selected spreading factor, there are generally multiple transmit opportunities in a given slot. For the uplink, the access slot can be randomly selected along with a chip offset from 0 to spreading factor minus 1. As such, the probability of collision between uplink users is minimized, while allowing for re-selection for cases where there are collisions. After the signal has been delayed, the signal can be transmitted to an access point.
There is a symmetry between processing a large number of simultaneous waveforms on the AP side, and the processing of the relative few waveforms on the tag side. Automatic frequency control (AFC), time-tracking drift, and frame timing are known on the AP side due to the fact that the AP is the master of these parameters. However, AFC, time-tracking drift, and frame timing may be determined at acquisition on the tag side. The PN array despreader performs the brute force operation associated with both, which is an efficient implementation for exploring acquisition hypothesis/demodulating. Another aspect of this is that this large power-consuming circuit (when active), though running continuously on the AP (which shouldn't matter because it can be plugged into the wall), is only running during a “cold” acquisition on the tag which should happen rarely. Cold acquisition and warm acquisition are described in more detail with reference to
A PN despread core element can be a simple counter that is incremented or not incremented each clock depending on whether the input is a 0 or a 1. Since it is a complex data path, there are two counters: one for 1 (in-phase) and one for Q (quadrature-phase). Multiplication by a complex exponential is generally a set of 4 rather large scalar multipliers (4×1000 gates is typical) coupled to a complex exponential table. In contrast, a one bit complex multiplier is basically a simple truth table, such as the example table shown below, where the negative denotes the inverse (0→1 and 1→0). This truth table can be implemented using just a few gates.
Phase
0
1
2
3
I′
I
−Q
−I
Q
Q′
Q
I
−Q
−I
After a number of clocks corresponding to the spreading factor, the PN despread element 102 has valid data which is selected for output by a multiplexer 108. Every clock thereafter, the adjacent despread element 104 or 106 is available until all data has been output which can occur during the number of clocks corresponding to the spreading factor plus a number of PN despread instantiations. The PN code that governs the operation of this mechanism can be a gold code parameterized by a value. In alternative embodiments, other PN codes may be used.
Upon the initial power-up of the tag, no parameters are known regarding the waveform except for the broadcast channel PN sequence (e.g., the particular gold code or other code parameter). Additionally, the tag may not know with sufficient precision what the relative frequency offset is between the AP and the tag due to oscillator variance between the AP and the tag.
In operations 156 and 158, the coarse AFC hypothesis is incremented until the end of the ppm range. For each coarse AFC hypothesis, the hardware depicted in
The non-coherent metrics for all chip×4 timing hypotheses for each coarse AFC can be communicated to a data structure. In an operation 160, the data structure keeps track of the greatest non-coherent metrics (e.g., coarse AFC value, chip×4 timing hypothesis, non-coherent metric value). The “finalists” are assigned to the N dedicated fingers in an operation 162. Each finger may be uniquely parameterized by a chip×4 timing value and a coarse AFC hypothesis which is independent of the current coarse AFC hypothesis governing the PN despread array. Since frame timing is initially unknown, each despread symbol that is output by the dedicated finger is hypothesized to be the last in the frame. Thus, the buffered 256 symbols undergo differential demodulation and an additional set of iterations based on multiplying by a constant complex value to perform fine AFC correction, as shown in operations 164 and 166. An output of operation 164 can be a complex cross product from each dedicated finger. In operation 166, a symbol-by-symbol multiplication by a constant complex rotation (as determined by the fine AFC hypothesis) can be iteratively applied to a postulated frame of information to determine which (if any) of the selection of complex rotation constant values uncovers a frame which passes a cyclic redundancy check (CRC). This can be a brute-force operation where a cyclic redundancy check (CRC) may be performed for each hypothesis. For any valid CRC, a payload from the signal can be sent to MAC, and network parameters can be considered to be known.
In an operation 168, other slot timing hypothesis are tried. In an exemplary embodiment, the coarse AFC hypotheses associated with the most successful CRCs can be nominal starting coarse AFC hypotheses. Once the entire range of coarse AFC hypothesis are explored, the tag notes a variable called Nominal_Coarse_AFC which is the relevant state information used in future transactions which greatly narrows the range of coarse AFC hypothesis searches because the part-to-part variation of oscillator ppm deviation is much larger than the oscillator drift over the coarse of a minute or so.
In an operation 200, there is no need to iterate over a two slot timing hypothesis because the frame timing is known. Instead of using a broadcast channel, a dedicated channel is used. In an operation 202, a coarse AFC hypothesis is scanned. In an exemplary embodiment, the coarse AFC can be scanned over a small range to account for small frequency drift since the last time accessed. Using a known gold code generated PN sequence unique to the tag, in an operation 204, a non-coherent metric for all chip×4 spaced hypotheses is calculated. In operations 206 and 208, the coarse AFC hypothesis is incremented until the end of the small ppm range. In an operation 210, a data structure keeps track of the greatest non-coherent metrics (e.g., coarse AFC value, chip×4 timing hypothesis, non-coherent metric value, etc.) In an operation 212, dedicated fingers are assigned based on the data structure. In an operation 214, symbol cross products are created using current DBPSK and previous DBPSK. An output of operation 214 can be a complex cross product from each dedicated finger. In an operation 216, frames are interleaved and decoded. For any valid CRC, the payload can be sent to a medium access control (MAC) layer. In an operation 218, other slot timing hypothesis are tried. In an exemplary embodiment, coarse AFC hypotheses associated with the most successful CRCs can be nominal starting coarse AFC hypotheses.
The sample buffer 220 receives communication signals over the I channel and the Q channel. These signals are sent to time tracking logic 222 and dedicated fingers 234. The time tracking logic 222 also receives a coarse AFC hypothesis and the logic 222 may reset to zero at chip×4 parity. The time tracking logic 222 can have two blocks, one with counters initialized to zero for even chip×4 parity, and one with counters initialized to midrange (i.e., 2^25) for odd chip×4 parity. The output of time tracking logic 222 is provided to a block 224 in which virtual chip×4 phases are applied. Block 224 also can receive parity from an acquisition state machine. Automatic frequency control (AFC) rotation logic 226 is applied to an output of block 224.
The AFC rotation logic 226 can also receive coarse AFC hypotheses as an input. The PN despreading array 228 (
Referring again to
Frame buffer 238 outputs the hypothesized frames to the rest of the receive chain. A cross product multiplication block 240 performs the multiplication of the current symbol with the complex conjugate of the previous symbol which is the conventional metric for D-BPSK demodulation. A residual frequency drift may cause the D-BPSK constellation to be rotated by a fixed phase. The role of the fine AFC multiply block 242 is to take a brute-force approach and try different possible phase rotations such that at least one fine AFC hypothesis yields a valid CRC as it passes through a de-interleaver and viterbi decoder 244. The fine AFC multiply block 242 can also receive fine AFC hypotheses as inputs. The output from the de-interleaver and Viterbi decoder 244 is provided to a CRC checker 246. If the CRC is valid, the payload is sent up to the MAC layer.
The flowchart of
In an operation 270, one coarse AFC value is used. In an exemplary embodiment, the one coarse AFC value can be 0 since compensation is performed by the tags. In an operation 272, a largest spreading factor (e.g., 8192) is used as a starting point. In alternative embodiments, the largest spreading factor may be larger or smaller than 8192. In an operation 274, access slots are processed within a spreading factor. This process may be degenerate in the case in which there are 8192 spreading factors. In an operation 276, despreading is performed for all chip×2 spaced hypotheses at the current spreading factor. For example, 16,384 despread operations may be performed if the spreading factor has a length of 8192. Despread is performed for all elements unless the spreading factor is less than the frame buffer number (e.g., 256). In an operation 278, the spreading factor is reduced in half and processing continues. In an operation 280, a determination is made regarding whether the spread factor has been reduced to 64. In alternative embodiments, other predetermined values may be used. If the spread factor has not been reduced to 64 (or other predetermined value), processing continues at operation 276. If the spread factor has been reduced to 64, the system waits for a next sample buffer to fill in operation 282. Once the next sample buffer is filled in operation 282, control returns to operation 272. In an operation 284, a frame buffer of despread elements is obtained. In an exemplary embodiment, the frame buffer may be complete after 256 symbols are output from a single pass by the PN despread array. In one embodiment, for a 256 stage PN despread array, a pass through may produce 256 timing hypotheses each having 256 symbols. In alternative embodiments, the PN despread array may have more or fewer stages. A cross product of the current despread DBPSK symbol with the previous symbol is calculated in an operation 286. In one embodiment, the cross product may involve 256 symbols for up to 256 frames. Alternatively, other numbers of symbols and/or frames may be used. In an operation 288, the current frame is decoded and phase multiplied based on the AFC hypothesis. In an operation 290, CRCs are checked and for any valid CRC, the payload is sent out of the physical layer (PHY) and up to the medium access control (MAC). As an example, the CRCs may be checked for 256 times the number of fine AFC hypothesis for each pass of a 256 despread array. Upon completion of the process for a given slot, the process is performed for a subsequent slot as illustrated by the arrow from block 282 to block 272.
In the “Cold Start” scenario, the tag begins seeking access at a slot-asynchronous point in time.
A tag enters the interaction depicted in slot 6 (“Warm Start”) either by a transition through a “Cold Start” procedure or directly upon tag wake-up if relevant state information is appropriately maintained. At this point, the tag makes a measurement of the received strength of the broadcast frame and uses this information to determine the transmit power and spreading factor that the tag subsequently transmits at in slot 7. The tag transmits it's message based on: 1) using the measured received broadcast channel signal strength and selecting the minimum spreading factor that can be used to close the link, which minimizes the tag's on time and is best for minimizing power consumption; 2) using the measured received broadcast channel signal strength and the formerly selected spreading factor, the tag transmits at the optimality condition of reception at the AP which is that all user's are received by the AP at very similar values of energy per bit to spectral noise density ratio (Eb/No); 3) for all but the maximum spreading factor, randomly selecting the slot access parameter j; and 4) randomly selecting the chip offset value from 0 to spreading factor −1 such that “collisions” at the AP are minimized and random selection at each transmission allows “collisions” to be resolved in subsequent transmission opportunities.
During slots 8 and 9, the AP processes all the signals received during slot 7 and sends a positive acknowledgement back during slot 10. The AP either aggregates several ACKs into a single channel characterized by a gold code, or sends a dedicated message to the tag using its dedicated gold code channel. Note that the former method requires some registration procedure (not shown) to assign the channel. In either case, the tag updates its chip×4 timing using the preamble of the message.
The tag would typically enter a “warm start” where the frame timing and coarse AFC hypothesis are known to within a tight range. The tag makes a measurement of the received broadcast channel power.
The network can be formed dynamically through the following representative embodiment. Each device in the network has a seed value. The access point has a seed value of 0. Each subsequent device has a seed value that equals the number of connections it is away from the access point. For example, in
Each micro-repeater and the access point can transmit on a broadcast channel. Initially, only the access point is transmitting on the broadcast channel. As each micro-repeater associates with the network, the micro-repeater can then transmit a broadcast channel to other devices. For example, in
Once micro-repeater 360 determines which other micro-repeater it associates with, it may then transmit to micro-repeater 362 for permission to associate via link 368. Micro-repeater 362 may then respond to grant association.
Once association is granted other messages may be transmitted between the micro-repeaters. Micro-repeaters with lower numbered seed values may transmit various messages to micro-repeaters with higher numbered seed values including those needed to keep AFC and sample timing compensation consistent through the network. For example, in
Upstream communication originating from a tag is passed from each micro-repeater to the micro-repeater it is associated with that has a lower seed value. For example, in
Downstream communication may be routed by each micro-repeater to the micro-repeater closer to the tag. Micro-repeater 353 passes traffic originating at access point 354 that is bound for tag 350 on to micro-repeater 352. This information may be captured in a data structure during upstream communication from the tag to the access point that has previously passed through the micro-repeater. Many known methods of routing can be used with a system embodied under the claimed invention. In one routing method, entries for particular routes in the data structure may contain both an identification of the device and the seed value of the next communication link that leads to the device. Micro-repeater 353 may have entries for a route to tag 350 in a data structure. Entries in the data structure may also note when the device is in direct communication with the micro-repeater. Micro-repeater 351 could note that it is in direct communication with tag 350. The gold code used to pass on a routed message depends on entries in the data structure. The micro-repeater may transmit using either a gold code corresponding to a further downstream micro-repeater or a gold code corresponding directly to the device. Hence, micro-repeater 351 would communicate with tag 350 using a gold code that corresponds directly to the device. Messages received for devices that are not known in the data structure may need to be transmitted back upstream. When the access point has no record of the device, the access point may either wait for a message from the tag or may issue a broadcast channel message seeking the tag directly.
Tag communication to micro-repeaters may be essentially unchanged from the direct tag to access point topology described above. Broadcast messages that tags use for initialization may be broadcast using an agreed upon network wide gold code that is independent of the micro-repeater seed. Hence, when tag 350 attempts to associate with the network, it may use a network wide gold code. Power control communications can be performed with the micro-repeaters just as the tag could perform these with an access point as explained above.
It may be desirable to have the tag itself act as a micro-repeater under certain circumstances. To accomplish this, the tag may transmit a broadcast channel message that advertises its presence to other tags. Hence, if tag 350 were to act as a micro-repeater, tag 350 could transmit a broadcast channel message advertising itself to other tags. The two tags could then function in much the same way that a micro-repeater and tag normally function. In one embodiment, a tag may only issue broadcast channel messages a particular percentage of the time.
The foregoing description of exemplary embodiments has been presented for purposes of illustration and description. It is not intended to be exhaustive or to limit the present invention to the precise form disclosed, and modifications and variations are possible in light of the above teachings or may be acquired from practice of the present invention. The embodiments were chosen and described in order to explain the principles of the present invention and its practical application to enable one skilled in the art to utilize the present invention in various embodiments and with various modifications as are suited to the particular use contemplated. In addition, one or more flow diagrams were used herein. The use of flow diagrams is not intended to be limiting with respect to the order in which operations are performed.
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